Open AccessOn the monotonicity of the quotient of certain abelian integrals
Author(s) -
Min Ho Lee
Publication year - 1991
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/s0161171293000043
Subject(s) - mathematics , quotient , abelian group , arithmetic of abelian varieties , monotonic function , pure mathematics , elliptic integral , bounded function , rank of an abelian group , elementary abelian group , algebra over a field , mathematical analysis
We prove that the quotient of abelian integrals associated to an elliptic surfaceis bounded and strictly increasing by first determining the Picard-Fuchs equation satisfied by theabelian integrals and the Riccati equation satisfied by the quotient of the abelian integrals
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